83331648 has 84 divisors (see below), whose sum is σ = 240385600. Its totient is φ = 27599616.

The previous prime is 83331613. The next prime is 83331653. The reversal of 83331648 is 84613338.

It is a happy number.

83331648 is a `hidden beast` number, since 8 + 3 + 3 + 3 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114261 + ... + 114987.

Almost surely, 2^83331648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120192800).

83331648 is an abundant number, since it is smaller than the sum of its proper divisors (157053952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83331648 is a wasteful number, since it uses less digits than its factorization.

83331648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 931 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 83331648 is about 9128.6169817777. The cubic root of 83331648 is about 436.7872877997.

The spelling of 83331648 in words is "eighty-three million, three hundred thirty-one thousand, six hundred forty-eight".